DAY 345:

The Main Challenge

A gentle logic puzzle for all members of the family to try.

The nine numbers, 1-9, must be placed into the 3-by-3 grid by following these rules:

  • 1 is in the top right-hand corner
  • 3 and 8 are also in the top row
  • 2 is in the middle row, left-hand side
  • 4 and 6 are both in the bottom row
  • 8 and 7 are in the left-hand column
  • 6 and 9 are in the right-hand column

x              x               x

x              x               x

x              x               x

Can you now insert the numbers 1-9, once each, into the correct places?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st & 6th columns contain the following fourteen numbers:

7   13   21   22   27   30   36   40   49   54   55   56   60   64

Find three pairs of numbers that each total 43.

The Factors Challenge

Which FOUR numbers below are factors of 345?

3    5    7    9    11    13    15    17    19    21    23    25

The Mathematically Possible Challenge

Using 13 and once each, with + – × ÷ available, which FIVE numbers is it possible to make from the list below?

4    8    12    16    20    24    28    32    36    40

#4TimesTable

The Target Challenge

Can you arrive at 345 by inserting 5, 10, 15, 20 and 25 into the gaps on each line below?

  •  (+÷√◯)×(◯+◯) = 345
  •  (+◯)×◯–◯÷◯ = 345

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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